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Finding the Fourth Proportional to 15,902.80, 23,870.76 and 11,747.50

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Solution

The fourth proportional to 15,902.80, 23,870.76 and 11,747.50 is: 17,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.80 : 23,870.76 = 11,747.50 : x
  2. Step 2: Convert to fraction form
    15,902.80/23,870.76 = 11,747.50/x
  3. Step 3: Cross multiply
    15,902.80x = 23,870.76 × 11,747.50
  4. Step 4: Simplify right side
    15,902.80x = 280,421,753.10
  5. Step 5: Solve for x
    x = 280,421,753.10/15,902.80
  6. Step 6: Final answer
    x = 17,633.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.